LCM of 400, 810, 464, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 810, 464, 288 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 400, 810, 464, 288. So, keep reading to learn more.
Given numbers are 400,810,464,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,810,464,288 is 1879200.
Find LCM of 400,810,464,288 with Prime Factorization
| 2 | 400, 810, 464, 288 |
| 2 | 200, 405, 232, 144 |
| 2 | 100, 405, 116, 72 |
| 2 | 50, 405, 58, 36 |
| 3 | 25, 405, 29, 18 |
| 3 | 25, 135, 29, 6 |
| 5 | 25, 45, 29, 2 |
| 5, 9, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 9 x 29 x 2 = 1879200
Therefore, the lowest common multiple of 400,810,464,288 is 1879200.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
400 x 810 x 464 x 288 = 43296768000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,810,464,288, is 2.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
810:2x 3x 3x 3x 3x 5
464:2x 2x 2x 2x 29
288:2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 3x 3x 5 = 11520
Therefore, the value for common factors is 11520.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 43296768000/(2x11520)
LCM = 43296768000/23040
LCM = 1879200
Thus, we can understand that the LCM of 400,810,464,288 is 1879200.
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FAQs on LCM of 400, 810, 464, 288
1. What is the LCM of 400, 810, 464, 288?
Answer: LCM of 400, 810, 464, 288 is 1879200.
2. How to calculate the LCM of 400, 810, 464, 288?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 400, 810, 464, 288.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.